- Gateaux derivative
- производная m Гато
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Gateaux derivative
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Gâteaux derivative — In mathematics, the Gâteaux differential is a generalisation of the concept of directional derivative in differential calculus. Named after René Gâteaux, a French mathematician who died young in World War I, it is defined for functions between… … Wikipedia
Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… … Wikipedia
Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) … Wikipedia
Fréchet derivative — In mathematics, the Fréchet derivative is a derivative defined on Banach spaces. Named after Maurice Fréchet, it is commonly used to formalize the concept of the functional derivative used widely in mathematical analysis, especially functional… … Wikipedia
Quasi-derivative — In mathematics, the quasi derivative is one of several generalizations of the derivative of a function between two Banach spaces. The quasi derivative is a slightly stronger version of the Gâteaux derivative, though weaker than the Fréchet… … Wikipedia
Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… … Wikipedia
Directional derivative — In mathematics, the directional derivative of a multivariate differentiable function along a given vector V at a given point P intuitively represents the instantaneous rate of change of the function, moving through P in the direction of V. It… … Wikipedia
Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… … Wikipedia
René Gâteaux — René Eugène Gateaux (5 May 1889 3 October 1914), was a French mathematician. He is known for the Gâteaux derivative. Part of his work has been posthumously published by Paul Lévy. Gâteaux was killed during World War I.References* cite web |… … Wikipedia
Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… … Wikipedia
Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… … Wikipedia
